3312122976 has 72 divisors (see below), whose sum is σ = 9453828384. Its totient is φ = 1099941120.

The previous prime is 3312122929. The next prime is 3312122977. The reversal of 3312122976 is 6792212133.

3312122976 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3312122976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3312122977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56830 + ... + 99266.

It is an arithmetic number, because the mean of its divisors is an integer number (131303172).

Almost surely, 2^3312122976 is an apocalyptic number.

3312122976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3312122976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4726914192).

3312122976 is an abundant number, since it is smaller than the sum of its proper divisors (6141705408).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3312122976 is a wasteful number, since it uses less digits than its factorization.

3312122976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42724 (or 42713 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 3312122976 is about 57551.0466976926. The cubic root of 3312122976 is about 1490.6264314900.

The spelling of 3312122976 in words is "three billion, three hundred twelve million, one hundred twenty-two thousand, nine hundred seventy-six".